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Finding the Fourth Proportional to 107,793.75, 161,568.01 and 65,580.78

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Solution

The fourth proportional to 107,793.75, 161,568.01 and 65,580.78 is: 98,296.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,793.75 : 161,568.01 = 65,580.78 : x
  2. Step 2: Convert to fraction form
    107,793.75/161,568.01 = 65,580.78/x
  3. Step 3: Cross multiply
    107,793.75x = 161,568.01 × 65,580.78
  4. Step 4: Simplify right side
    107,793.75x = 10,595,756,118.85
  5. Step 5: Solve for x
    x = 10,595,756,118.85/107,793.75
  6. Step 6: Final answer
    x = 98,296.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.